Solve for x
x=\frac{49}{55}\approx 0.890909091
Graph
Share
Copied to clipboard
9\left(3x-5\right)=4\left(-7x+1\right)
Multiply both sides of the equation by 36, the least common multiple of 4,9.
27x-45=4\left(-7x+1\right)
Use the distributive property to multiply 9 by 3x-5.
27x-45=-28x+4
Use the distributive property to multiply 4 by -7x+1.
27x-45+28x=4
Add 28x to both sides.
55x-45=4
Combine 27x and 28x to get 55x.
55x=4+45
Add 45 to both sides.
55x=49
Add 4 and 45 to get 49.
x=\frac{49}{55}
Divide both sides by 55.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}